• Aim: How do we graph more advanced sine and cosine curves when there are changes in amplitude and period? (y=asinbx and y=acosbx)

Here are some questions for you to copy into your notebooks and answer as you watch the videos.

1. What is th formula to determine amplitude?
2. What is the formula to determine the period?
3. How does the amplitude change the height of a sine or a cosine graph?
4. How do you change the graph to accommodate the new period?
5. What are the domain and range for the graph y= - 2(cos2x)?


How to determine amplitude and period


Example on how to graph with period and amplitude changes


Sketch one cycle for the following:

y=5cos3x
y=1/2 cos 1/3 x
y=3cosx
y= - sin 2x
y=4sin3x

Finish these for homework

  • Journal entry:What do you think is the advantage of expressing angle measures in terms of radians?